Controllability of linear stochastic systems in Hilbert spaces

被引：115

作者：

Mahmudov, NI ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, Dept Math, Mersin 10, Turkey

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 259卷 / 01期

关键词：

controllability; stochastic controllability; linear system;

D O I：

10.1006/jmaa.2000.7386

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The classical theory of controllability for deterministic systems is extended to linear stochastic systems defined on infinite-dimensional Hilbert spaces. Three types of stochastic controllability are studied: approximate, complete, and S-controllability. Tests for complete, approximate, and S-controllabilities are proved and the relation between the controllability of linear stochastic systems and the controllability of the corresponding deterministic Systems is studied. (C) 2001 Academic Press.

引用

页码：64 / 82

页数：19

共 50 条

[1] Controllability and observability of linear stochastic systems in Hilbert spaces
Mahmudov, N
[J]. STOCHASTIC ANALYSIS AND RELATED TOPICS VIII, 2003, 53 : 151 - 167
[2] Controllability of linear impulsive stochastic systems in Hilbert spaces
Shen, Lijuan
Sun, Jitao
Wu, Qidi
[J]. AUTOMATICA, 2013, 49 (04) : 1026 - 1030
[3] On controllability of semilinear stochastic systems in Hilbert spaces
Mahmudov, Nazim I.
[J]. IMA Journal of Mathematical Control and Information, 2002, 19 (04) : 363 - 376
[4] Controllability of semilinear stochastic systems in Hilbert spaces
Mahmudov, NI
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 288 (01) : 197 - 211
[5] Approximate controllability for semi-linear retarded stochastic systems in Hilbert spaces
Muthukumar, P.
Balasubramaniam, P.
[J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2009, 26 (02) : 131 - 140
[6] Controllability of semilinear stochastic impulsive systems in Hilbert spaces
Dai, Xi-Sheng
Deng, Fei-Qi
[J]. PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, : 3657 - 3662
[7] Approximate controllability of linear retarded systems in Hilbert spaces
Jeong, Jin-Mun
Cheon, Su Jin
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2013, 86 (09) : 1567 - 1576
[8] BOUNDARY CONTROLLABILITY OF NONLINEAR STOCHASTIC FRACTIONAL SYSTEMS IN HILBERT SPACES
Mabel Lizzy, Rajendran
Balachandran, Krishnan
[J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2018, 28 (01) : 123 - 133
[9] Approximate Controllability of Semilinear Stochastic Generalized Systems in Hilbert Spaces
Ge, Zhaoqiang
[J]. MATHEMATICS, 2022, 10 (17)
[10] Controllability of semilinear stochastic functional integrodifferential systems in Hilbert spaces
Subalakshmi, R.
Balachandran, K.
Park, J. Y.
[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (01) : 39 - 50

← 1 2 3 4 5 →